Engineering Board Exam Reviewer · Curvature and Radius of Curvature · hard

At what value of x does the curve y=ex have its maximum curvature?

1. 0
2. -0.69
3. 0.35
4. -0.35

Answer

D. -0.35

Solution

= ex≤ft(1+e2x )3/2. Setting d /dx=0: ≤ft(1+e2x )-3e2x=0 e2x= 12 x=- 2/2 -0.35.

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